7
algebra

Which inequality represents the region between y=xy=x and y=x+2y=x+2?

A

x<y<x+2x < y < x + 2

B

x>y>x+2x > y > x + 2

C

y<xy < x or y>x+2y > x + 2

D

y>xy > x and y>x+2y > x + 2

Correct Answer: A

Choice A is the correct answer. Band between parallel lines.

  1. Above y=xy=x: y>xy > x (or x<yx < y)
  2. Below y=x+2y=x+2: y<x+2y < x + 2
  3. Combine: x<y<x+2x < y < x + 2

?�� Strategic Tip: Verify that x<x+2x < x+2 is true (it is), so the inequality makes sense.

Choice B is incorrect becausex>x+2x > x+2 is impossible. Choice C is incorrect because it is outside the band. Choice D is incorrect because it is above both lines.